16X^2-24=c

Solution for 16X^2-24=c equation:

16X^2-24=X

We move all terms to the left:

16X^2-24-(X)=0

We add all the numbers together, and all the variables

16X^2-1X-24=0

a = 16; b = -1; c = -24;
Δ = b2-4ac
Δ = -12-4·16·(-24)
Δ = 1537
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-\sqrt{1537}}{2*16}=\frac{1-\sqrt{1537}}{32}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{1537}}{2*16}=\frac{1+\sqrt{1537}}{32}
$